The conformal bootstrap: Theory, numerical techniques, and applications
Conformal field theories have been long known to describe the fascinating universal physics
of scale invariant critical points. They describe continuous phase transitions in fluids …
of scale invariant critical points. They describe continuous phase transitions in fluids …
[HTML][HTML] Selected topics in analytic conformal bootstrap: A guided journey
This review aims to offer a pedagogical introduction to the analytic conformal bootstrap
program via a journey through selected topics. We review analytic methods which include …
program via a journey through selected topics. We review analytic methods which include …
Snowmass white paper: the cosmological bootstrap
This white paper summarizes recent progress in the cosmological bootstrap, an approach to
the study of the statistics of primordial fluctuations from consistency with unitarity, locality and …
the study of the statistics of primordial fluctuations from consistency with unitarity, locality and …
[HTML][HTML] The cosmological bootstrap: inflationary correlators from symmetries and singularities
A bstract Scattering amplitudes at weak coupling are highly constrained by Lorentz
invariance, locality and unitarity, and depend on model details only through coupling …
invariance, locality and unitarity, and depend on model details only through coupling …
[HTML][HTML] From dS to AdS and back
A bstract We describe in more detail the general relation uncovered in our previous work
between boundary correlators in de Sitter (dS) and in Euclidean anti-de Sitter (EAdS) space …
between boundary correlators in de Sitter (dS) and in Euclidean anti-de Sitter (EAdS) space …
Light-ray operators in conformal field theory
P Kravchuk, D Simmons-Duffin - Journal of High Energy Physics, 2018 - Springer
A bstract We argue that every CFT contains light-ray operators labeled by a continuous spin
J. When J is a positive integer, light-ray operators become integrals of local operators over a …
J. When J is a positive integer, light-ray operators become integrals of local operators over a …
The cosmological bootstrap: weight-shifting operators and scalar seeds
A bstract A key insight of the bootstrap approach to cosmological correlations is the fact that
all correlators of slow-roll inflation can be reduced to a unique building block—the four-point …
all correlators of slow-roll inflation can be reduced to a unique building block—the four-point …
Boostless cosmological collider bootstrap
GL Pimentel, DG Wang - Journal of High Energy Physics, 2022 - Springer
A bstract Cosmological correlation functions contain valuable information about the
primordial Universe, with possible signatures of new massive particles at very high energies …
primordial Universe, with possible signatures of new massive particles at very high energies …
The cosmological bootstrap: spinning correlators from symmetries and factorization
We extend the cosmological bootstrap to correlators involving massless particles with spin.
In de Sitter space, these correlators are constrained both by symmetries and by locality. In …
In de Sitter space, these correlators are constrained both by symmetries and by locality. In …
A spacetime derivation of the Lorentzian OPE inversion formula
D Simmons-Duffin, D Stanford, E Witten - Journal of High Energy Physics, 2018 - Springer
A bstract Caron-Huot has recently given an interesting formula that determines OPE data in
a conformal field theory in terms of a weighted integral of the four-point function over a …
a conformal field theory in terms of a weighted integral of the four-point function over a …